Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - Data Sufficiency 2 (Q.No. 2)
Directions to Solve

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.


2.

What is the speed of the train?

I. 

The train crosses a tree in 13 seconds.

II. 

The train crosses a platform of length 250 metres in 27 seconds.

 III. 

The train crosses another train running in the same direction in 32 seconds.

I and II only
II and III only
I and III only
Any two of the three
None of these
Answer: Option
Explanation:

Let the speed of the train be x metres/sec.

Time taken to cross a tree = Length of the train
Speed of the train

Time taken to cross a platform = (Length of the train + Length of the Platform)
Speed of the train

I gives, 13 = l     13x.
x

II gives 27 = l + 250
x

13x + 250 = 27
x

x = 125 m/sec.
7

Thus I and II give the speed of the train.

The correct answer is (A.)

Discussion:
13 comments Page 2 of 2.

Kab said:   5 years ago
I think option B is correct.
(2)

Kab said:   5 years ago
Option B be possible because the third equation involves the relative speed.
(1)

Yatendra said:   3 years ago
Why we have assumed here that the length of the train is equal to the length of the tree?

Please explain me.


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